Interpolation and sampling in Hilbert spaces of holomorphic functions
In this paper we give new proofs of some theorems due to Seip, Seip-Wallstén and Lyubarskii-Seip on sequences of interpolation and sampling for spaces of analytic functions that are square integrable with respect to certain weights. The results are also given in a somewhat more general setting.
| Autores: | , |
|---|---|
| Formato: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 1995 |
| País: | España |
| Recursos: | Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) |
| Repositorio: | Recercat. Dipósit de la Recerca de Catalunya |
| OAI Identifier: | oai:recercat.cat:2445/164719 |
| Acesso em linha: | https://hdl.handle.net/2445/164719 |
| Access Level: | acceso abierto |
| Palavra-chave: | Funcions de variables complexes Anàlisi funcional Espais de Hilbert Funcions analítiques Functions of complex variables Functional analysis Hilbert space Analytic functions |
| Resumo: | In this paper we give new proofs of some theorems due to Seip, Seip-Wallstén and Lyubarskii-Seip on sequences of interpolation and sampling for spaces of analytic functions that are square integrable with respect to certain weights. The results are also given in a somewhat more general setting. |
|---|